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Globally coupled chaotic maps with bistable behaviour: Large deviations
chaotic maps bistable behaviour self consistent Perron-Frobenius operator
2010/4/1
For a system of globally coupled chaotic maps with bistable behaviour we relate the rate function for large deviations in the system size at finite time to dynamical properties of the self consistent ...
Chaotic Maps, Hamiltonian Flows, and Holographic Methods
Chaotic Maps Hamiltonian Flows Holographic Methods
2010/1/31
Holographic functional methods are introduced as probes of discrete time-stepped maps that lead to chaotic behavior. The methods provide continuous time interpolation between the time steps, thereby r...
Renormalization group structure for sums of variables generated by incipiently chaotic maps
Renormalization group chaotic maps
2009/12/15
We look at the limit distributions of sums of deterministic chaotic variables in unimodal maps and find a remarkable renormalization group (RG) structure associated to the operation of increment of su...